I Pressurization rate vs. Mass Flow rate

I am doing some back of napkin calcs for work and am having trouble finding an answer (or one that I can understand--its been a while since undergrad). We have a valve that has particular flow rate requirements to prevent unseating the valve seal. This is a mass flow rate and our customer has requested a pressure flow rate (so instead of lbm/s, they want psi/s). I can do it for a simple isothermal system using the ideal gas law, but our tanks are adiabatic.

I have found various explanations, like a ratio of pressures = ratio of densities to some function of gamma, and a dimensionless form of the pressure/time for choked mass flow rate.

If anybody can ELI5 or give me some guidance I would be very appreciative.